| 带电粒子在垂直电场和磁场中的闭合轨道及其分叉现象研究 |
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| 引用本文： | 孟祥佳,王德华,冯攸永,于永江.带电粒子在垂直电场和磁场中的闭合轨道及其分叉现象研究[J].烟台师范学院学报(自然科学版),2008(4). |
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| 作者姓名： | 孟祥佳 王德华 冯攸永 于永江 |
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| 作者单位： | 山东大学物理学院 鲁东大学物理与电子工程学院 鲁东大学体育学院 |
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| 基金项目： | 国家自然科学基金(10604045);; 研究生优质课《高等量子力学》资助课题(YYK0614) |
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| 摘 要： | 从哈密顿正则方程出发,推导出了带电粒子在相互垂直的电场和磁场中的运动方程,根据运动方程讨论了带电粒子的运动轨迹形成闭合轨道所满足的条件.计算结果表明:随着带电粒子能量的不断增大,带电粒子运动轨迹中闭合轨道的条数不断增多.当能量增加到某一边界能量时,一条新的闭合轨道出现;当能量大于此边界能量时,这条新的闭合轨道发生分叉,由一条分为两条.
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| 关 键 词： | 带电粒子 垂直电场和磁场 闭合轨道 边界能量 分叉 |
Exploration of the Closed Orbits and Its Bifurcation of the Electric Particle in the Perpendicular Electric and Magnetic Fields |
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| MENG Xiang-jia,; WANG De-hua,a; FENG You-yong,b; YU Yong-jiang.Exploration of the Closed Orbits and Its Bifurcation of the Electric Particle in the Perpendicular Electric and Magnetic Fields[J].Yantai Teachers University journal(Natural Science Edition),2008(4). |
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| Authors: | MENG Xiang-jia ; WANG De-hua a; FENG You-yong b; YU Yong-jiang |
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| Institution: | 1.School of Physics; Shangdong University; Jinan 250100; China; 2.Ludong University; a.School of Physics and Electronic Engineering; b.School of sports; Yantai 264025; China); |
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| Abstract: | Based on the Hamiltonian motion equations,the movement equations of the electron in the perpendicular electric and magnetic field are deduced and then the initial conditions of the closed orbits of the electron s trajectory according to the movement equations discussed.The results suggest that with the increase of the electron s energy,the number of the closed orbits is increased.As the energy is increased to a boundary energy,a new closed orbit appears;when the energy is greater than this boundary energy,t... |
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| Keywords: | electric particle perpendicular electric and magnetic fields closed orbits boundary energy bifurcation |
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